2 research outputs found
A CDMA multiuser detection algorithm based on survey propagation
A computationally tractable CDMA multiuser detection algorithm is developed
based on survey propagation.Comment: Abstract for my presentation at Randomness and Computation Joint
Workshop ``New Horizons in Computing'' and ``Statistical Mechanical Approach
to Probabilistic Information Processing'' (18-21 July, 2005, Sendai, Japan
A rigorous proof of the cavity method for counting matchings
In this paper we rigorously prove the validity of the cavity method for the
problem of counting the number of matchings in graphs with large girth. Cavity
method is an important heuristic developed by statistical physicists that has
lead to the development of faster distributed algorithms for problems in
various combinatorial optimization problems. The validity of the approach has
been supported mostly by numerical simulations. In this paper we prove the
validity of cavity method for the problem of counting matchings using rigorous
techniques. We hope that these rigorous approaches will finally help us
establish the validity of the cavity method in general.Comment: 11 pages, 1 figur